1) Geometry of submanifolds 2) Geometry of Tangent bundle 3) Conformal vector fields 4) Killing vector fields 5) Geometry of space time 6) Geometry of hypersurfaces 7) Differential equations on Riemannian manifolds 8) First eigenvalue of minimal hypersurfaces.
We aim to examine the influence of the existence of a nonzero eigenvector z of the de-Rham
operator G on a k-dimensional Riemannian manifold (Nk, g). If the vector z annihilates the de-Rham…
by
Nasser Bin Turki, Sharief Deshmukh, Gabriel-Eduard Vîlcu
The Fischer-Marsden conjecture asserts that an n-dimensional compact manifold admitting a nontrivial solution of the so-called Fischer-Marsden differential equation is necessarily an Einstein…
by
Sharief Deshmukh, Hana Al-Sodais, Gabriel-Eduard Vîlcu
We use a nontrivial concircular vector field u on the unit sphere Sn+1 in studying
geometry of its hypersurfaces. An orientable hypersurface M of the unit sphere Sn+1
naturally…
by
Nasser Bin Turki, Sharief Deshmukh, Gabriel-Eduard Vîlcu